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Finding the Fourth Proportional to 650,558.94, 898,322.45 and 408,919.34

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Solution

The fourth proportional to 650,558.94, 898,322.45 and 408,919.34 is: 564,655.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,558.94 : 898,322.45 = 408,919.34 : x
  2. Step 2: Convert to fraction form
    650,558.94/898,322.45 = 408,919.34/x
  3. Step 3: Cross multiply
    650,558.94x = 898,322.45 × 408,919.34
  4. Step 4: Simplify right side
    650,558.94x = 367,341,416,824.97
  5. Step 5: Solve for x
    x = 367,341,416,824.97/650,558.94
  6. Step 6: Final answer
    x = 564,655.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.